Question : Directions: After interchanging which two numbers, the value of the given equation will be 5.
7 – 3 ÷ 9 × 2 + 4
Option 1: 2 and 9
Option 2: 7 and 4
Option 3: 3 and 9
Option 4: 4 and 2
Correct Answer: 3 and 9
Solution :
Given:
7 – 3 ÷ 9 × 2 + 4
Interchange the numbers according to the options.
Let's check the options –
First option:
2 and 9
= 7 – 3 ÷ 2 × 9 + 4
= 7 – 1.5 × 9 + 4
= –2.5 ≠ 5
Second option:
7 and 4
= 4 – 3 ÷ 9 × 2 + 7
= 4 – 0.666 +7
= 10.334 ≠ 5
Third Option:
3 and 9
= 7 – 9 ÷ 3 × 2 + 4
= 7 – 6 + 4
= 5
Fourth Option:
4 and 2
= 7 – 3 ÷ 9 × 4 + 2
= 7 – 1.333 + 2
= 7.667 ≠ 5
So, only the third option satisfies the equation. Hence, the third option is correct.
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